Least Common Multiple of 23/49, 14/70, 40/91, 22/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/49, 14/70, 40/91, 22/728 quickly i.e. 10120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/49, 14/70, 40/91, 22/728 is 10120.

LCM(23/49, 14/70, 40/91, 22/728) = 10120

LCM of 23/49, 14/70, 40/91, 22/728

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 23/49,14/70,40/91,22/728

Given numbers are 23/49,14/70,40/91,22/728

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 23,14,40,22

Least Common Multiple of Numerators i.e. LCM of 23,14,40,22 is 70840.

GCF of Denominators means GCF of 49,70,91,728 as per the given fractions.

GCF of 49,70,91,728 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,14,40,22

LCM of Fractions 23/49,14/70,40/91,22/728 is 10120

2 23, 14, 40, 22
23, 7, 20, 11

∴ So the LCM of the given numbers is 2 x 23 x 7 x 20 x 11 = 70840

Least Common Multiple of 23,14,40,22 with GCF Formula

Least Common Multiple of 23,14,40,22 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,14,40,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,14,40,22) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(23,14,40,22) x common factors =1 x 4 = 4

LCM(23,14,40,22) = ( 23 × 14 × 40 × 22 ) / 4

LCM(23,14,40,22) = 283360 / 4

LCM(23,14,40,22) = 70840


Lets's calculate GCF of 49,70,91,728

7 49, 70, 91, 728
7, 10, 13, 104

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70840/7

Therefore the LCM of Fractions 23/49,14/70,40/91,22/728 is 10120

Greatest Common Factor of 49,70,91,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,70,91,728 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 49,70,91,728 . The biggest common factor number is the GCF number.
So the greatest common factor 49,70,91,728 is 7.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 23/49, 14/70, 40/91, 22/728

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 23/49, 14/70, 40/91, 22/728?

Answer: LCM of Numerators as per given numbers 23/49, 14/70, 40/91, 22/728 is

LCM of Numerators i.e. for 23,14,40,22 is 70840

GCF of denominators i.e. for 49,70,91,728 is 7.

Thus, LCM of Fractions is 10120.Finally, LCM of Fractions for 23/49, 14/70, 40/91, 22/728 is 10120.